An inequality may hurt you

Algebra Level 4

( a 2 a + 1 ) ( b 2 b + 1 ) ( c 2 c + 1 ) (a^2-a+1)(b^2-b+1)(c^2-c+1)

Given that a , b a,b and c c are non-negative numbers and a + b + c = 3 a+b+c=3 , find the sum of the minimum and maximum value of the expression above.


Inspiration .


The answer is 8.

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1 solution

Shourya Pandey
Apr 27, 2016

This is from the Mathematical Reflections.

Where do find this "mathematical reflections"?

Pi Han Goh - 4 years ago

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